Implicit Digital Surfaces in Arbitrary Dimensions

نویسندگان

  • Jean-Luc Toutant
  • Eric Andres
  • Gaëlle Largeteau-Skapin
  • Rita Zrour
چکیده

In this paper we introduce a notion of digital implicit surface in arbitrary dimensions. The digital implicit surface is the result of a morphology inspired digitization of an implicit surface {x ∈ R : f(x) = 0} which is the boundary of a given closed subset of R, {x ∈ R : f(x) ≤ 0}. Under some constraints, the digital implicit surface has some interesting properties, such as k-tunnel freeness, and can be analytically characterized.

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تاریخ انتشار 2014